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Finding the Third Proportional to 206,667 and 313,114

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Solution

The third proportional to 206,667 and 313,114 is: 474,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,667 : 313,114 = 313,114 : x
  2. Step 2: Convert to fraction form
    206,667/313,114 = 313,114/x
  3. Step 3: Cross multiply
    206,667x = 313,114 × 313,114
  4. Step 4: Simplify right side
    206,667x = 98,040,376,996
  5. Step 5: Solve for x
    x = 98,040,376,996/206,667
  6. Step 6: Final answer
    x = 474,388.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.